{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Question 1.\n",
    "Pourquoi l'indépendance entre les variables aléatoires est obligatoire pour le théorème de Bayes ?\n",
    "\n",
    "*Chaque variable doit être indépendante pour que la formule bayésienne soit valable.*\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Question2.\n",
    "Donner la différence entre l'indépendance et l'indépendance conditionnelle\n",
    "\n",
    "*L’indépendance et l’indépendance conditionnelle ne peuvent être déduites l’une de l’autre dans des circonstances normales. L’indépendance conditionnelle ne peut pas être indépendante, et l’indépendance ne peut pas être l’indépendance conditionnelle.*"
   ]
  },
  {
   "attachments": {
    "image-2.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Question 3. \n",
    "Vous avez trois pièces en poche : \n",
    "1. La pièce 1 est une pièce équitable qui sort face avec une probabilité de 1/2. \n",
    "2. La pièce 2 est une pièce biaisée qui sort face avec une probabilité de 1/4. \n",
    "3. La pièce 3 est une pièce biaisée qui sort face avec une probabilité de 3/4. \n",
    "\n",
    "1.\tSupposons que vous choisissiez une des pièces de manière uniforme au hasard et que vous la retourniez trois fois. Si vous observez la séquence HHT (où H signifie face et T signifie pile), quelle est la probabilité que vous ayez choisi la Pièce 3\n",
    "\n",
    "\n",
    "## $ P=\\frac{P\\left(HHC|C_3\\right)}{\\sum_{i=1}^{3}P\\left(HHC|C_i\\right)}=\\frac{9}{20} $\n",
    "\n",
    "2.\tSupposons que X et Y sont des variables aléatoires indépendantes sur le domaine 1, 2, 3 avec P (X = 3) = 1/6. Étant donné la distribution conjointe partiellement spécifiée suivante, quelles sont les valeurs restantes?\n",
    "\n",
    "![image-2.png](attachment:image-2.png)\n",
    "## $\\frac{P\\left(X=1,Y=1\\right)}{P\\left(X=2,Y=1\\right)}=\\frac{3}{2}$\n",
    "\n",
    "## $ \\because P(\\mathrm{X=1})=\\frac{3}{2}P(\\mathrm{X=2}), $\n",
    "\n",
    "## $\\mathrm{\\ P}(\\mathrm{X=1})\\mathrm{+P}(\\mathrm{X=2})\\mathrm{+P}(\\mathrm{X=3})\\mathrm{=1}，$\n",
    "\n",
    "## $ \\mathrm{P}(\\mathrm{X=3})=\\frac{1}{6}$\n",
    "\n",
    "## $ \\therefore P(\\mathrm{X=1})=\\mathrm{\\ }\\frac{1}{2}\\mathrm{,\\ P}(\\mathrm{X=2})=\\frac{1}{3}$\n",
    "\n",
    "## $P(\\mathrm{X=2,Y=1})=\\frac{1}{6}\\mathrm{\\ ,P}(\\mathrm{Y=1})=\\frac{1}{2}\\ $\n",
    "\n",
    "## $P(\\mathrm{X=1,Y=2})=\\frac{1}{\\mathrm{16}}\\mathrm{\\ ,P}(\\mathrm{Y=2})=\\frac{1}{8}$\n",
    "\n",
    "## $ P(\\mathrm{Y=1})=\\mathrm{P}(\\mathrm{Y=2})\\mathrm{+P}(\\mathrm{Y=3})\\mathrm{=1}$\n",
    "\n",
    "## $ P(\\mathrm{Y=3})=\\frac{3}{8}$\n",
    "\n",
    "## $ P(\\mathrm{X=3,Y=1})=\\frac{1}{6}\\times\\frac{1}{2}\\mathrm{\\ =} \\frac{1}{12} $\n",
    "\n",
    "## $ P(\\mathrm{X=3,Y=2})=\\frac{1}{6}\\times\\frac{1}{8}\\mathrm{\\ =} \\frac{1}{48} $\n",
    "\n",
    "## $ P(\\mathrm{X=1,Y=3})=\\frac{1}{2}\\times\\frac{3}{8}\\mathrm{\\ =} \\frac{3}{16} $\n",
    "\n",
    "## $ P(\\mathrm{X=2,Y=3})=\\frac{1}{3}\\times\\frac{3}{8}\\mathrm{\\ =} \\frac{1}{8} $\n",
    "\n",
    "## $ P(\\mathrm{X=3,Y=3})=\\frac{1}{6}\\times\\frac{3}{8}\\mathrm{\\ =} \\frac{1}{16} $\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Question 1.\n",
    "1. Créer un réseau Bayéssien en utilisant: bayesNet = BayesianModel()\n",
    " - Pour les noeuds:\n",
    "bayesNet.add_node(\"Name_Node\")\n",
    " - Pour les arrêtes:\n",
    "bayesNet.add_edge(\"Name_Node1\", \"Name_Node2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "2. Ajoutez des CPD (tables des probabilités) à chaque nœud, tout en ajoutant des probabilités, nous\n",
    "devons d'abord donner des valeurs FALSE en utilisant la fonctionTabularCPD() :\n",
    "pgmpy.factors.discrete.CPD.TabularCPD(variable, variable_card, values, evidence=None, evidence_card=None, state_names={})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": "<IPython.core.display.Image object>"
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image('graph.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "from pgmpy.models import BayesianNetwork\n",
    "from pgmpy.factors.discrete import TabularCPD\n",
    "from pgmpy.inference import VariableElimination\n",
    "\n",
    "bayesNet = BayesianNetwork([('I', 'N'), ('L', 'N'), ('S', 'N'), ('N', 'R'), ('S', 'R')])\n",
    "\n",
    "cpd_L = TabularCPD(variable='L', variable_card=2, values=[[0.08], [0.92]])\n",
    "cpd_S = TabularCPD(variable='S', variable_card=2, values=[[0.12], [0.88]])\n",
    "cpd_I = TabularCPD(variable='I', variable_card=2, values=[[0.21], [0.79]])\n",
    "cpd_R = TabularCPD(variable='R', variable_card=2, values=[[0.38, 0.08, 0.16, 0.05], [0.62, 0.92, 0.84, 0.95]],\n",
    "                   evidence=['N', 'S'], evidence_card=[2, 2])\n",
    "cpd_N = TabularCPD(variable='N', variable_card=2, values=[[0.92, 0.88, 0.79, 0.73, 0.22, 0.08, 0.17, 0.03],\n",
    "                                                          [0.08, 0.12, 0.21, 0.27, 0.78, 0.92, 0.83, 0.97]],\n",
    "                   evidence=['L', 'S', 'I'], evidence_card=[2, 2, 2])\n",
    "bayesNet.add_cpds(cpd_I, cpd_L, cpd_N, cpd_R, cpd_S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    " 3. Vérifiez si le modèle est correctement créé en utilisant bayesNet.check_model()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bayesNet.check_model()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "4. Création d'un solveur qui utilise l'élimination de variables en interne pour l'inférence à l'aide de :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "solver = VariableElimination(bayesNet)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Question 2.\n",
    "Calculer la probabilité de « Le projet ne doit pas être pris en compte (non noté) »"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "1. Calculer manuellement cette probabilité"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.12097568000000002"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(0.92 * 0.08 * 0.12 * 0.21 +\n",
    " 0.88 * 0.08 * 0.12 * 0.79 +\n",
    " 0.79 * 0.08 * 0.88 * 0.21 +\n",
    " 0.73 * 0.08 * 0.88 * 0.79 +\n",
    " 0.22 * 0.92 * 0.12 * 0.21 +\n",
    " 0.08 * 0.92 * 0.12 * 0.79 +\n",
    " 0.17 * 0.92 * 0.88 * 0.21 +\n",
    " 0.03 * 0.92 * 0.88 * 0.79)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8790243200000001"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(0.08 * 0.08 * 0.12 * 0.21 +\n",
    " 0.12 * 0.08 * 0.12 * 0.79 +\n",
    " 0.21 * 0.08 * 0.88 * 0.21 +\n",
    " 0.27 * 0.08 * 0.88 * 0.79 +\n",
    " 0.78 * 0.92 * 0.12 * 0.21 +\n",
    " 0.92 * 0.92 * 0.12 * 0.79 +\n",
    " 0.83 * 0.92 * 0.88 * 0.21 +\n",
    " 0.97 * 0.92 * 0.88 * 0.79)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "2. Calculez cette probabilité à l'aide de la bibliothèque pgmpy :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f51800d2a9f349c395b8b5f95cf6c08d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/3 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "05225d9a3a2847d6a60db236a9ab307e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/3 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+------+----------+\n",
      "| N    |   phi(N) |\n",
      "+======+==========+\n",
      "| N(0) |   0.1210 |\n",
      "+------+----------+\n",
      "| N(1) |   0.8790 |\n",
      "+------+----------+\n"
     ]
    }
   ],
   "source": [
    "print(solver.query(['N']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Question 3.\n",
    "Calculez la probabilité de \" Le projet ne doit pas être pris en compte (pas de note) étant donné que le modèle ML l'a signalé\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "1. Calculer manuellement cette probabilité"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7681959999999999"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(0.92*0.12*0.21+\n",
    " 0.88*0.88*0.21+\n",
    " 0.79*0.12*0.79+\n",
    " 0.73*0.88*0.79\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.231804"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(0.08*0.12*0.21+\n",
    " 0.12*0.88*0.21+\n",
    " 0.21*0.12*0.79+\n",
    " 0.27*0.88*0.79\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "2. Calculez cette probabilité à l'aide de la bibliothèque pgmpy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2f72ad97ffc9440aa70c016e017debe6",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/2 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f88cb069b1ec4cf1ba80affba883c4f8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/2 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+------+----------+\n",
      "| N    |   phi(N) |\n",
      "+======+==========+\n",
      "| N(0) |   0.7601 |\n",
      "+------+----------+\n",
      "| N(1) |   0.2399 |\n",
      "+------+----------+\n"
     ]
    }
   ],
   "source": [
    "print(solver.query(['N'],evidence={'L':0}))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Question 4.\n",
    "Trouver les (in)dépendances entre les variables à l'aide de la fonction get_independencies()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(S ⟂ I, L)\n",
       "(S ⟂ L | I)\n",
       "(S ⟂ I | L)\n",
       "(R ⟂ I, L | N, S)\n",
       "(R ⟂ L | N, S, I)\n",
       "(R ⟂ I | N, S, L)\n",
       "(L ⟂ I, S)\n",
       "(L ⟂ I | S)\n",
       "(L ⟂ S | I)\n",
       "(L ⟂ R | N, S)\n",
       "(L ⟂ R | N, S, I)\n",
       "(I ⟂ S, L)\n",
       "(I ⟂ L | S)\n",
       "(I ⟂ S | L)\n",
       "(I ⟂ R | N, S)\n",
       "(I ⟂ R | N, S, L)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bayesNet.get_independencies()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}